i am a quadilateral. I have four sides, four angles and only one set of parallel lines. i am not a parallelogram. what am I ?

Trapezoid?

rhombus

To determine what type of quadrilateral you are, let's go through the given information systematically.

First, you have four sides and four angles, which is consistent with being a quadrilateral. This narrows down the options to four-sided shapes.

Next, you mention that you have only one set of parallel lines, which excludes the possibility of being a parallelogram. This means that your quadrilateral does not have two pairs of parallel sides.

Considering this information, the most likely answer is that you are a trapezoid. A trapezoid is a quadrilateral with one pair of parallel sides, called the bases, and the other two sides, called the legs, are not parallel.

So, based on the given criteria, it appears that you are a trapezoid.